Modification of Higgs Couplings in Minimal Composite Models

Abstract

We present a comprehensive study of the modifications of Higgs couplings in the SO(5)/SO(4) minimal composite model. We focus on three couplings of central importance to Higgs phenomenology at the LHC: the couplings to top and bottom quarks and the coupling to two gluons. We consider three possible embeddings of the fermionic partners in 5, 10 and 14 of SO(5) and find tth and bbh couplings to be always suppressed in 5 and 10, while in 14 they can be either enhanced or suppressed. Assuming partial compositeness, we analyze the interplay between the tth coupling and the top sector contribution to the Coleman-Weinberg potential for the Higgs boson, and the correlation between tth and ggh couplings. In particular, if the electroweak symmetry breaking is triggered radiatively by the top sector, we demonstrate that the ratio of the tth coupling in composite Higgs models over the Standard Model expectation is preferred to be less than the corresponding ratio of the ggh coupling.

42 pages, 14 figures; Added references

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• Heavy vector-like quarks decaying to exotic scalars: a case study with triplets
• EFTs meet Higgs Nonlinearity, Compositeness and (Neutral) Naturalness
• Probing the Higgs boson through Yukawa force
• Anomalous Higgs Yukawa Couplings and Recent LHC Data
• What can we learn from the total width of the Higgs boson?
• Directly Probing the Higgs-top Coupling at High Scales